Finding the Third Proportional to 3,641 and 7,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641 : 7,727.50 = 7,727.50 : x
2. Step 2: Convert to fraction form
   3,641/7,727.50 = 7,727.50/x
3. Step 3: Cross multiply
   3,641x = 7,727.50 × 7,727.50
4. Step 4: Simplify right side
   3,641x = 59,714,256.25
5. Step 5: Solve for x
   x = 59,714,256.25/3,641
6. Step 6: Final answer
   x = 16,400.51